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Finding the Fourth Proportional to 561,106.20, 841,659.30 and 161,711.40

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Solution

The fourth proportional to 561,106.20, 841,659.30 and 161,711.40 is: 242,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,106.20 : 841,659.30 = 161,711.40 : x
  2. Step 2: Convert to fraction form
    561,106.20/841,659.30 = 161,711.40/x
  3. Step 3: Cross multiply
    561,106.20x = 841,659.30 × 161,711.40
  4. Step 4: Simplify right side
    561,106.20x = 136,105,903,726.02
  5. Step 5: Solve for x
    x = 136,105,903,726.02/561,106.20
  6. Step 6: Final answer
    x = 242,567.10

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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.