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Finding the Fourth Proportional to 71,345.80, 106,916.30 and 52,478.60

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Solution

The fourth proportional to 71,345.80, 106,916.30 and 52,478.60 is: 78,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,345.80 : 106,916.30 = 52,478.60 : x
  2. Step 2: Convert to fraction form
    71,345.80/106,916.30 = 52,478.60/x
  3. Step 3: Cross multiply
    71,345.80x = 106,916.30 × 52,478.60
  4. Step 4: Simplify right side
    71,345.80x = 5,610,817,741.18
  5. Step 5: Solve for x
    x = 5,610,817,741.18/71,345.80
  6. Step 6: Final answer
    x = 78,642.58

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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.