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Finding the Fourth Proportional to 110,142.75, 152,009.96 and 65,430.75

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Solution

The fourth proportional to 110,142.75, 152,009.96 and 65,430.75 is: 90,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,142.75 : 152,009.96 = 65,430.75 : x
  2. Step 2: Convert to fraction form
    110,142.75/152,009.96 = 65,430.75/x
  3. Step 3: Cross multiply
    110,142.75x = 152,009.96 × 65,430.75
  4. Step 4: Simplify right side
    110,142.75x = 9,946,125,363.12
  5. Step 5: Solve for x
    x = 9,946,125,363.12/110,142.75
  6. Step 6: Final answer
    x = 90,302.13

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1.5x scale

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.