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Finding the Fourth Proportional to 145,566.76, 217,898.14 and 78,841.16

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Solution

The fourth proportional to 145,566.76, 217,898.14 and 78,841.16 is: 118,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,566.76 : 217,898.14 = 78,841.16 : x
  2. Step 2: Convert to fraction form
    145,566.76/217,898.14 = 78,841.16/x
  3. Step 3: Cross multiply
    145,566.76x = 217,898.14 × 78,841.16
  4. Step 4: Simplify right side
    145,566.76x = 17,179,342,119.44
  5. Step 5: Solve for x
    x = 17,179,342,119.44/145,566.76
  6. Step 6: Final answer
    x = 118,016.93

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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.