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Finding the Fourth Proportional to 100,088, 138,125.76 and 55,376

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Solution

The fourth proportional to 100,088, 138,125.76 and 55,376 is: 76,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,088 : 138,125.76 = 55,376 : x
  2. Step 2: Convert to fraction form
    100,088/138,125.76 = 55,376/x
  3. Step 3: Cross multiply
    100,088x = 138,125.76 × 55,376
  4. Step 4: Simplify right side
    100,088x = 7,648,852,085.76
  5. Step 5: Solve for x
    x = 7,648,852,085.76/100,088
  6. Step 6: Final answer
    x = 76,421.27

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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.