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Finding the Fourth Proportional to 100,417.32, 138,574.71 and 55,095.71

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Solution

The fourth proportional to 100,417.32, 138,574.71 and 55,095.71 is: 76,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,417.32 : 138,574.71 = 55,095.71 : x
  2. Step 2: Convert to fraction form
    100,417.32/138,574.71 = 55,095.71/x
  3. Step 3: Cross multiply
    100,417.32x = 138,574.71 × 55,095.71
  4. Step 4: Simplify right side
    100,417.32x = 7,634,871,342.62
  5. Step 5: Solve for x
    x = 7,634,871,342.62/100,417.32
  6. Step 6: Final answer
    x = 76,031.42

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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.