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Finding the Fourth Proportional to 107,630.64, 148,543.47 and 65,189.07

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Solution

The fourth proportional to 107,630.64, 148,543.47 and 65,189.07 is: 89,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,630.64 : 148,543.47 = 65,189.07 : x
  2. Step 2: Convert to fraction form
    107,630.64/148,543.47 = 65,189.07/x
  3. Step 3: Cross multiply
    107,630.64x = 148,543.47 × 65,189.07
  4. Step 4: Simplify right side
    107,630.64x = 9,683,410,663.87
  5. Step 5: Solve for x
    x = 9,683,410,663.87/107,630.64
  6. Step 6: Final answer
    x = 89,968.90

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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.