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Finding the Fourth Proportional to 93,876.76, 129,547.92 and 51,434.38

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Solution

The fourth proportional to 93,876.76, 129,547.92 and 51,434.38 is: 70,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,876.76 : 129,547.92 = 51,434.38 : x
  2. Step 2: Convert to fraction form
    93,876.76/129,547.92 = 51,434.38/x
  3. Step 3: Cross multiply
    93,876.76x = 129,547.92 × 51,434.38
  4. Step 4: Simplify right side
    93,876.76x = 6,663,216,945.49
  5. Step 5: Solve for x
    x = 6,663,216,945.49/93,876.76
  6. Step 6: Final answer
    x = 70,978.34

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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.