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Finding the Fourth Proportional to 153,704, 212,286.48 and 103,315.52

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Solution

The fourth proportional to 153,704, 212,286.48 and 103,315.52 is: 142,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,704 : 212,286.48 = 103,315.52 : x
  2. Step 2: Convert to fraction form
    153,704/212,286.48 = 103,315.52/x
  3. Step 3: Cross multiply
    153,704x = 212,286.48 × 103,315.52
  4. Step 4: Simplify right side
    153,704x = 21,932,488,070.17
  5. Step 5: Solve for x
    x = 21,932,488,070.17/153,704
  6. Step 6: Final answer
    x = 142,693.02

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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.