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Finding the Fourth Proportional to 142,854.83, 214,314.53 and 71,811.50

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Solution

The fourth proportional to 142,854.83, 214,314.53 and 71,811.50 is: 107,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854.83 : 214,314.53 = 71,811.50 : x
  2. Step 2: Convert to fraction form
    142,854.83/214,314.53 = 71,811.50/x
  3. Step 3: Cross multiply
    142,854.83x = 214,314.53 × 71,811.50
  4. Step 4: Simplify right side
    142,854.83x = 15,390,248,854.65
  5. Step 5: Solve for x
    x = 15,390,248,854.65/142,854.83
  6. Step 6: Final answer
    x = 107,733.49

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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.