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Finding the Fourth Proportional to 128,017.02, 176,695.11 and 77,758.14

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Solution

The fourth proportional to 128,017.02, 176,695.11 and 77,758.14 is: 107,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,017.02 : 176,695.11 = 77,758.14 : x
  2. Step 2: Convert to fraction form
    128,017.02/176,695.11 = 77,758.14/x
  3. Step 3: Cross multiply
    128,017.02x = 176,695.11 × 77,758.14
  4. Step 4: Simplify right side
    128,017.02x = 13,739,483,100.70
  5. Step 5: Solve for x
    x = 13,739,483,100.70/128,017.02
  6. Step 6: Final answer
    x = 107,325.44

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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.