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Finding the Fourth Proportional to 107,364.16, 148,138.68 and 64,921.80

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Solution

The fourth proportional to 107,364.16, 148,138.68 and 64,921.80 is: 89,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,364.16 : 148,138.68 = 64,921.80 : x
  2. Step 2: Convert to fraction form
    107,364.16/148,138.68 = 64,921.80/x
  3. Step 3: Cross multiply
    107,364.16x = 148,138.68 × 64,921.80
  4. Step 4: Simplify right side
    107,364.16x = 9,617,429,755.22
  5. Step 5: Solve for x
    x = 9,617,429,755.22/107,364.16
  6. Step 6: Final answer
    x = 89,577.66

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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.