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Finding the Fourth Proportional to 99,657, 137,526.66 and 54,945

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Solution

The fourth proportional to 99,657, 137,526.66 and 54,945 is: 75,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657 : 137,526.66 = 54,945 : x
  2. Step 2: Convert to fraction form
    99,657/137,526.66 = 54,945/x
  3. Step 3: Cross multiply
    99,657x = 137,526.66 × 54,945
  4. Step 4: Simplify right side
    99,657x = 7,556,402,333.70
  5. Step 5: Solve for x
    x = 7,556,402,333.70/99,657
  6. Step 6: Final answer
    x = 75,824.10

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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.