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Finding the Fourth Proportional to 142,703.76, 214,047.42 and 42,861.74

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Solution

The fourth proportional to 142,703.76, 214,047.42 and 42,861.74 is: 64,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,703.76 : 214,047.42 = 42,861.74 : x
  2. Step 2: Convert to fraction form
    142,703.76/214,047.42 = 42,861.74/x
  3. Step 3: Cross multiply
    142,703.76x = 214,047.42 × 42,861.74
  4. Step 4: Simplify right side
    142,703.76x = 9,174,444,863.71
  5. Step 5: Solve for x
    x = 9,174,444,863.71/142,703.76
  6. Step 6: Final answer
    x = 64,290.14

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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.