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Finding the Fourth Proportional to 42,547.40, 63,821.10 and 19,219.40

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Solution

The fourth proportional to 42,547.40, 63,821.10 and 19,219.40 is: 28,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,547.40 : 63,821.10 = 19,219.40 : x
  2. Step 2: Convert to fraction form
    42,547.40/63,821.10 = 19,219.40/x
  3. Step 3: Cross multiply
    42,547.40x = 63,821.10 × 19,219.40
  4. Step 4: Simplify right side
    42,547.40x = 1,226,603,249.34
  5. Step 5: Solve for x
    x = 1,226,603,249.34/42,547.40
  6. Step 6: Final answer
    x = 28,829.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.