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Finding the Fourth Proportional to 102,468.50, 141,407.62 and 57,756.50

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Solution

The fourth proportional to 102,468.50, 141,407.62 and 57,756.50 is: 79,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,468.50 : 141,407.62 = 57,756.50 : x
  2. Step 2: Convert to fraction form
    102,468.50/141,407.62 = 57,756.50/x
  3. Step 3: Cross multiply
    102,468.50x = 141,407.62 × 57,756.50
  4. Step 4: Simplify right side
    102,468.50x = 8,167,209,204.53
  5. Step 5: Solve for x
    x = 8,167,209,204.53/102,468.50
  6. Step 6: Final answer
    x = 79,704.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.