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Finding the Fourth Proportional to 140,420.32, 193,780.40 and 83,830.40

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Solution

The fourth proportional to 140,420.32, 193,780.40 and 83,830.40 is: 115,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,420.32 : 193,780.40 = 83,830.40 : x
  2. Step 2: Convert to fraction form
    140,420.32/193,780.40 = 83,830.40/x
  3. Step 3: Cross multiply
    140,420.32x = 193,780.40 × 83,830.40
  4. Step 4: Simplify right side
    140,420.32x = 16,244,688,444.16
  5. Step 5: Solve for x
    x = 16,244,688,444.16/140,420.32
  6. Step 6: Final answer
    x = 115,686.17

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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.