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Finding the Fourth Proportional to 102,430.40, 153,742.80 and 63,064.40

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Solution

The fourth proportional to 102,430.40, 153,742.80 and 63,064.40 is: 94,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,430.40 : 153,742.80 = 63,064.40 : x
  2. Step 2: Convert to fraction form
    102,430.40/153,742.80 = 63,064.40/x
  3. Step 3: Cross multiply
    102,430.40x = 153,742.80 × 63,064.40
  4. Step 4: Simplify right side
    102,430.40x = 9,695,697,436.32
  5. Step 5: Solve for x
    x = 9,695,697,436.32/102,430.40
  6. Step 6: Final answer
    x = 94,656.44

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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.