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Finding the Fourth Proportional to 77,148.10, 115,721.31 and 58,542.40

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Solution

The fourth proportional to 77,148.10, 115,721.31 and 58,542.40 is: 87,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148.10 : 115,721.31 = 58,542.40 : x
  2. Step 2: Convert to fraction form
    77,148.10/115,721.31 = 58,542.40/x
  3. Step 3: Cross multiply
    77,148.10x = 115,721.31 × 58,542.40
  4. Step 4: Simplify right side
    77,148.10x = 6,774,602,602.50
  5. Step 5: Solve for x
    x = 6,774,602,602.50/77,148.10
  6. Step 6: Final answer
    x = 87,812.96

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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.