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Finding the Fourth Proportional to 100,031.63, 138,038.54 and 54,700.81

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Solution

The fourth proportional to 100,031.63, 138,038.54 and 54,700.81 is: 75,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,031.63 : 138,038.54 = 54,700.81 : x
  2. Step 2: Convert to fraction form
    100,031.63/138,038.54 = 54,700.81/x
  3. Step 3: Cross multiply
    100,031.63x = 138,038.54 × 54,700.81
  4. Step 4: Simplify right side
    100,031.63x = 7,550,819,330.62
  5. Step 5: Solve for x
    x = 7,550,819,330.62/100,031.63
  6. Step 6: Final answer
    x = 75,484.32

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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.