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Finding the Fourth Proportional to 129,547, 178,775.40 and 72,959.32

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Solution

The fourth proportional to 129,547, 178,775.40 and 72,959.32 is: 100,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,547 : 178,775.40 = 72,959.32 : x
  2. Step 2: Convert to fraction form
    129,547/178,775.40 = 72,959.32/x
  3. Step 3: Cross multiply
    129,547x = 178,775.40 × 72,959.32
  4. Step 4: Simplify right side
    129,547x = 13,043,331,616.73
  5. Step 5: Solve for x
    x = 13,043,331,616.73/129,547
  6. Step 6: Final answer
    x = 100,684.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.