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Finding the Fourth Proportional to 105,440.71, 157,962.42 and 52,070.21

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Solution

The fourth proportional to 105,440.71, 157,962.42 and 52,070.21 is: 78,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,440.71 : 157,962.42 = 52,070.21 : x
  2. Step 2: Convert to fraction form
    105,440.71/157,962.42 = 52,070.21/x
  3. Step 3: Cross multiply
    105,440.71x = 157,962.42 × 52,070.21
  4. Step 4: Simplify right side
    105,440.71x = 8,225,137,292.27
  5. Step 5: Solve for x
    x = 8,225,137,292.27/105,440.71
  6. Step 6: Final answer
    x = 78,007.23

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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.