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Finding the Fourth Proportional to 102,642.30, 153,963.45 and 90,978.30

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Solution

The fourth proportional to 102,642.30, 153,963.45 and 90,978.30 is: 136,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.30 : 153,963.45 = 90,978.30 : x
  2. Step 2: Convert to fraction form
    102,642.30/153,963.45 = 90,978.30/x
  3. Step 3: Cross multiply
    102,642.30x = 153,963.45 × 90,978.30
  4. Step 4: Simplify right side
    102,642.30x = 14,007,332,943.14
  5. Step 5: Solve for x
    x = 14,007,332,943.14/102,642.30
  6. Step 6: Final answer
    x = 136,467.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.