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Finding the Fourth Proportional to 156,064.65, 234,096.98 and 129,820.65

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Solution

The fourth proportional to 156,064.65, 234,096.98 and 129,820.65 is: 194,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,064.65 : 234,096.98 = 129,820.65 : x
  2. Step 2: Convert to fraction form
    156,064.65/234,096.98 = 129,820.65/x
  3. Step 3: Cross multiply
    156,064.65x = 234,096.98 × 129,820.65
  4. Step 4: Simplify right side
    156,064.65x = 30,390,621,457.53
  5. Step 5: Solve for x
    x = 30,390,621,457.53/156,064.65
  6. Step 6: Final answer
    x = 194,730.98

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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.