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Finding the Fourth Proportional to 145,720, 218,434.08 and 56,851.24

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Solution

The fourth proportional to 145,720, 218,434.08 and 56,851.24 is: 85,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,720 : 218,434.08 = 56,851.24 : x
  2. Step 2: Convert to fraction form
    145,720/218,434.08 = 56,851.24/x
  3. Step 3: Cross multiply
    145,720x = 218,434.08 × 56,851.24
  4. Step 4: Simplify right side
    145,720x = 12,418,248,306.26
  5. Step 5: Solve for x
    x = 12,418,248,306.26/145,720
  6. Step 6: Final answer
    x = 85,219.93

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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.