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Finding the Fourth Proportional to 100,302.76, 138,368.82 and 84,381.40

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Solution

The fourth proportional to 100,302.76, 138,368.82 and 84,381.40 is: 116,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,302.76 : 138,368.82 = 84,381.40 : x
  2. Step 2: Convert to fraction form
    100,302.76/138,368.82 = 84,381.40/x
  3. Step 3: Cross multiply
    100,302.76x = 138,368.82 × 84,381.40
  4. Step 4: Simplify right side
    100,302.76x = 11,675,754,747.95
  5. Step 5: Solve for x
    x = 11,675,754,747.95/100,302.76
  6. Step 6: Final answer
    x = 116,405.12

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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.