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Finding the Fourth Proportional to 120,275.77, 165,870.88 and 103,274.68

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Solution

The fourth proportional to 120,275.77, 165,870.88 and 103,274.68 is: 142,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,275.77 : 165,870.88 = 103,274.68 : x
  2. Step 2: Convert to fraction form
    120,275.77/165,870.88 = 103,274.68/x
  3. Step 3: Cross multiply
    120,275.77x = 165,870.88 × 103,274.68
  4. Step 4: Simplify right side
    120,275.77x = 17,130,262,053.32
  5. Step 5: Solve for x
    x = 17,130,262,053.32/120,275.77
  6. Step 6: Final answer
    x = 142,424.88

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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.