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Finding the Fourth Proportional to 142,407, 213,657.30 and 58,237.99

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Solution

The fourth proportional to 142,407, 213,657.30 and 58,237.99 is: 87,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407 : 213,657.30 = 58,237.99 : x
  2. Step 2: Convert to fraction form
    142,407/213,657.30 = 58,237.99/x
  3. Step 3: Cross multiply
    142,407x = 213,657.30 × 58,237.99
  4. Step 4: Simplify right side
    142,407x = 12,442,971,166.68
  5. Step 5: Solve for x
    x = 12,442,971,166.68/142,407
  6. Step 6: Final answer
    x = 87,376.12

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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.