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Finding the Fourth Proportional to 147,985.40, 221,978.10 and 42,807.80

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Solution

The fourth proportional to 147,985.40, 221,978.10 and 42,807.80 is: 64,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,985.40 : 221,978.10 = 42,807.80 : x
  2. Step 2: Convert to fraction form
    147,985.40/221,978.10 = 42,807.80/x
  3. Step 3: Cross multiply
    147,985.40x = 221,978.10 × 42,807.80
  4. Step 4: Simplify right side
    147,985.40x = 9,502,394,109.18
  5. Step 5: Solve for x
    x = 9,502,394,109.18/147,985.40
  6. Step 6: Final answer
    x = 64,211.70

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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.