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Finding the Fourth Proportional to 142,506, 213,759 and 61,419.78

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Solution

The fourth proportional to 142,506, 213,759 and 61,419.78 is: 92,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,506 : 213,759 = 61,419.78 : x
  2. Step 2: Convert to fraction form
    142,506/213,759 = 61,419.78/x
  3. Step 3: Cross multiply
    142,506x = 213,759 × 61,419.78
  4. Step 4: Simplify right side
    142,506x = 13,129,030,753.02
  5. Step 5: Solve for x
    x = 13,129,030,753.02/142,506
  6. Step 6: Final answer
    x = 92,129.67

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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.