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Finding the Fourth Proportional to 205,547.60, 308,459.10 and 72,428.15

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Solution

The fourth proportional to 205,547.60, 308,459.10 and 72,428.15 is: 108,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,547.60 : 308,459.10 = 72,428.15 : x
  2. Step 2: Convert to fraction form
    205,547.60/308,459.10 = 72,428.15/x
  3. Step 3: Cross multiply
    205,547.60x = 308,459.10 × 72,428.15
  4. Step 4: Simplify right side
    205,547.60x = 22,341,121,963.67
  5. Step 5: Solve for x
    x = 22,341,121,963.67/205,547.60
  6. Step 6: Final answer
    x = 108,690.75

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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.