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Finding the Fourth Proportional to 146,656, 202,437.76 and 87,040

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Solution

The fourth proportional to 146,656, 202,437.76 and 87,040 is: 120,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,656 : 202,437.76 = 87,040 : x
  2. Step 2: Convert to fraction form
    146,656/202,437.76 = 87,040/x
  3. Step 3: Cross multiply
    146,656x = 202,437.76 × 87,040
  4. Step 4: Simplify right side
    146,656x = 17,620,182,630.40
  5. Step 5: Solve for x
    x = 17,620,182,630.40/146,656
  6. Step 6: Final answer
    x = 120,146.35

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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.