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Finding the Fourth Proportional to 70,442.87, 97,208.10 and 42,164.15

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Solution

The fourth proportional to 70,442.87, 97,208.10 and 42,164.15 is: 58,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,442.87 : 97,208.10 = 42,164.15 : x
  2. Step 2: Convert to fraction form
    70,442.87/97,208.10 = 42,164.15/x
  3. Step 3: Cross multiply
    70,442.87x = 97,208.10 × 42,164.15
  4. Step 4: Simplify right side
    70,442.87x = 4,098,696,423.57
  5. Step 5: Solve for x
    x = 4,098,696,423.57/70,442.87
  6. Step 6: Final answer
    x = 58,184.69

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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.