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Finding the Fourth Proportional to 140,357.84, 193,823.20 and 90,144.32

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Solution

The fourth proportional to 140,357.84, 193,823.20 and 90,144.32 is: 124,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,357.84 : 193,823.20 = 90,144.32 : x
  2. Step 2: Convert to fraction form
    140,357.84/193,823.20 = 90,144.32/x
  3. Step 3: Cross multiply
    140,357.84x = 193,823.20 × 90,144.32
  4. Step 4: Simplify right side
    140,357.84x = 17,472,060,564.22
  5. Step 5: Solve for x
    x = 17,472,060,564.22/140,357.84
  6. Step 6: Final answer
    x = 124,482.26

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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.