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Finding the Fourth Proportional to 138,699.20, 208,048.80 and 105,521.60

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Solution

The fourth proportional to 138,699.20, 208,048.80 and 105,521.60 is: 158,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,699.20 : 208,048.80 = 105,521.60 : x
  2. Step 2: Convert to fraction form
    138,699.20/208,048.80 = 105,521.60/x
  3. Step 3: Cross multiply
    138,699.20x = 208,048.80 × 105,521.60
  4. Step 4: Simplify right side
    138,699.20x = 21,953,642,254.08
  5. Step 5: Solve for x
    x = 21,953,642,254.08/138,699.20
  6. Step 6: Final answer
    x = 158,282.40

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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.