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Finding the Fourth Proportional to 139,502.13, 209,280.14 and 59,538.93

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Solution

The fourth proportional to 139,502.13, 209,280.14 and 59,538.93 is: 89,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,502.13 : 209,280.14 = 59,538.93 : x
  2. Step 2: Convert to fraction form
    139,502.13/209,280.14 = 59,538.93/x
  3. Step 3: Cross multiply
    139,502.13x = 209,280.14 × 59,538.93
  4. Step 4: Simplify right side
    139,502.13x = 12,460,315,605.85
  5. Step 5: Solve for x
    x = 12,460,315,605.85/139,502.13
  6. Step 6: Final answer
    x = 89,319.90

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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.