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Finding the Fourth Proportional to 242,547.20, 363,734.40 and 84,780.80

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Solution

The fourth proportional to 242,547.20, 363,734.40 and 84,780.80 is: 127,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,547.20 : 363,734.40 = 84,780.80 : x
  2. Step 2: Convert to fraction form
    242,547.20/363,734.40 = 84,780.80/x
  3. Step 3: Cross multiply
    242,547.20x = 363,734.40 × 84,780.80
  4. Step 4: Simplify right side
    242,547.20x = 30,837,693,419.52
  5. Step 5: Solve for x
    x = 30,837,693,419.52/242,547.20
  6. Step 6: Final answer
    x = 127,141.00

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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.