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Finding the Fourth Proportional to 561,160, 841,742.16 and 140,434.72

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Solution

The fourth proportional to 561,160, 841,742.16 and 140,434.72 is: 210,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,160 : 841,742.16 = 140,434.72 : x
  2. Step 2: Convert to fraction form
    561,160/841,742.16 = 140,434.72/x
  3. Step 3: Cross multiply
    561,160x = 841,742.16 × 140,434.72
  4. Step 4: Simplify right side
    561,160x = 118,209,824,551.80
  5. Step 5: Solve for x
    x = 118,209,824,551.80/561,160
  6. Step 6: Final answer
    x = 210,652.62

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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.