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Finding the Fourth Proportional to 175,602.87, 242,306.03 and 102,978.34

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Solution

The fourth proportional to 175,602.87, 242,306.03 and 102,978.34 is: 142,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,602.87 : 242,306.03 = 102,978.34 : x
  2. Step 2: Convert to fraction form
    175,602.87/242,306.03 = 102,978.34/x
  3. Step 3: Cross multiply
    175,602.87x = 242,306.03 × 102,978.34
  4. Step 4: Simplify right side
    175,602.87x = 24,952,272,393.07
  5. Step 5: Solve for x
    x = 24,952,272,393.07/175,602.87
  6. Step 6: Final answer
    x = 142,094.90

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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.