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Finding the Fourth Proportional to 156,980.95, 235,526.10 and 68,298.10

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Solution

The fourth proportional to 156,980.95, 235,526.10 and 68,298.10 is: 102,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980.95 : 235,526.10 = 68,298.10 : x
  2. Step 2: Convert to fraction form
    156,980.95/235,526.10 = 68,298.10/x
  3. Step 3: Cross multiply
    156,980.95x = 235,526.10 × 68,298.10
  4. Step 4: Simplify right side
    156,980.95x = 16,085,985,130.41
  5. Step 5: Solve for x
    x = 16,085,985,130.41/156,980.95
  6. Step 6: Final answer
    x = 102,470.94

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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.