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Finding the Fourth Proportional to 119,152.98, 164,430.92 and 65,438

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Solution

The fourth proportional to 119,152.98, 164,430.92 and 65,438 is: 90,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,152.98 : 164,430.92 = 65,438 : x
  2. Step 2: Convert to fraction form
    119,152.98/164,430.92 = 65,438/x
  3. Step 3: Cross multiply
    119,152.98x = 164,430.92 × 65,438
  4. Step 4: Simplify right side
    119,152.98x = 10,760,030,542.96
  5. Step 5: Solve for x
    x = 10,760,030,542.96/119,152.98
  6. Step 6: Final answer
    x = 90,304.33

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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.