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Finding the Fourth Proportional to 100,038.62, 138,047.64 and 54,707.60

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Solution

The fourth proportional to 100,038.62, 138,047.64 and 54,707.60 is: 75,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.62 : 138,047.64 = 54,707.60 : x
  2. Step 2: Convert to fraction form
    100,038.62/138,047.64 = 54,707.60/x
  3. Step 3: Cross multiply
    100,038.62x = 138,047.64 × 54,707.60
  4. Step 4: Simplify right side
    100,038.62x = 7,552,255,070.06
  5. Step 5: Solve for x
    x = 7,552,255,070.06/100,038.62
  6. Step 6: Final answer
    x = 75,493.40

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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.