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Finding the Fourth Proportional to 156,071.10, 233,710.65 and 85,871.10

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Solution

The fourth proportional to 156,071.10, 233,710.65 and 85,871.10 is: 128,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,071.10 : 233,710.65 = 85,871.10 : x
  2. Step 2: Convert to fraction form
    156,071.10/233,710.65 = 85,871.10/x
  3. Step 3: Cross multiply
    156,071.10x = 233,710.65 × 85,871.10
  4. Step 4: Simplify right side
    156,071.10x = 20,068,990,597.22
  5. Step 5: Solve for x
    x = 20,068,990,597.22/156,071.10
  6. Step 6: Final answer
    x = 128,588.77

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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.