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Finding the Fourth Proportional to 100,312, 138,430.80 and 55,600

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Solution

The fourth proportional to 100,312, 138,430.80 and 55,600 is: 76,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,312 : 138,430.80 = 55,600 : x
  2. Step 2: Convert to fraction form
    100,312/138,430.80 = 55,600/x
  3. Step 3: Cross multiply
    100,312x = 138,430.80 × 55,600
  4. Step 4: Simplify right side
    100,312x = 7,696,752,480.00
  5. Step 5: Solve for x
    x = 7,696,752,480.00/100,312
  6. Step 6: Final answer
    x = 76,728.13

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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.