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Finding the Fourth Proportional to 100,656.16, 138,925.64 and 76,740.12

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Solution

The fourth proportional to 100,656.16, 138,925.64 and 76,740.12 is: 105,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,656.16 : 138,925.64 = 76,740.12 : x
  2. Step 2: Convert to fraction form
    100,656.16/138,925.64 = 76,740.12/x
  3. Step 3: Cross multiply
    100,656.16x = 138,925.64 × 76,740.12
  4. Step 4: Simplify right side
    100,656.16x = 10,661,170,284.68
  5. Step 5: Solve for x
    x = 10,661,170,284.68/100,656.16
  6. Step 6: Final answer
    x = 105,916.72

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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.