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Finding the Fourth Proportional to 82,547.20, 123,820.80 and 29,958.40

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Solution

The fourth proportional to 82,547.20, 123,820.80 and 29,958.40 is: 44,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,547.20 : 123,820.80 = 29,958.40 : x
  2. Step 2: Convert to fraction form
    82,547.20/123,820.80 = 29,958.40/x
  3. Step 3: Cross multiply
    82,547.20x = 123,820.80 × 29,958.40
  4. Step 4: Simplify right side
    82,547.20x = 3,709,473,054.72
  5. Step 5: Solve for x
    x = 3,709,473,054.72/82,547.20
  6. Step 6: Final answer
    x = 44,937.60

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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.