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Finding the Fourth Proportional to 100,397.74, 138,549.95 and 55,075.81

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Solution

The fourth proportional to 100,397.74, 138,549.95 and 55,075.81 is: 76,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.74 : 138,549.95 = 55,075.81 : x
  2. Step 2: Convert to fraction form
    100,397.74/138,549.95 = 55,075.81/x
  3. Step 3: Cross multiply
    100,397.74x = 138,549.95 × 55,075.81
  4. Step 4: Simplify right side
    100,397.74x = 7,630,750,721.71
  5. Step 5: Solve for x
    x = 7,630,750,721.71/100,397.74
  6. Step 6: Final answer
    x = 76,005.20

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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.