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Finding the Fourth Proportional to 92,642.40, 138,931.20 and 48,254.40

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Solution

The fourth proportional to 92,642.40, 138,931.20 and 48,254.40 is: 72,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642.40 : 138,931.20 = 48,254.40 : x
  2. Step 2: Convert to fraction form
    92,642.40/138,931.20 = 48,254.40/x
  3. Step 3: Cross multiply
    92,642.40x = 138,931.20 × 48,254.40
  4. Step 4: Simplify right side
    92,642.40x = 6,704,041,697.28
  5. Step 5: Solve for x
    x = 6,704,041,697.28/92,642.40
  6. Step 6: Final answer
    x = 72,364.72

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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.