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Finding the Fourth Proportional to 142,538.40, 213,807.60 and 59,421.60

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Solution

The fourth proportional to 142,538.40, 213,807.60 and 59,421.60 is: 89,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,538.40 : 213,807.60 = 59,421.60 : x
  2. Step 2: Convert to fraction form
    142,538.40/213,807.60 = 59,421.60/x
  3. Step 3: Cross multiply
    142,538.40x = 213,807.60 × 59,421.60
  4. Step 4: Simplify right side
    142,538.40x = 12,704,789,684.16
  5. Step 5: Solve for x
    x = 12,704,789,684.16/142,538.40
  6. Step 6: Final answer
    x = 89,132.40

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1.5x scale

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.