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Finding the Fourth Proportional to 156,971.80, 235,457.70 and 78,239.80

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Solution

The fourth proportional to 156,971.80, 235,457.70 and 78,239.80 is: 117,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971.80 : 235,457.70 = 78,239.80 : x
  2. Step 2: Convert to fraction form
    156,971.80/235,457.70 = 78,239.80/x
  3. Step 3: Cross multiply
    156,971.80x = 235,457.70 × 78,239.80
  4. Step 4: Simplify right side
    156,971.80x = 18,422,163,356.46
  5. Step 5: Solve for x
    x = 18,422,163,356.46/156,971.80
  6. Step 6: Final answer
    x = 117,359.70

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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.