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Finding the Fourth Proportional to 157,035.84, 235,420.80 and 68,222.40

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Solution

The fourth proportional to 157,035.84, 235,420.80 and 68,222.40 is: 102,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,035.84 : 235,420.80 = 68,222.40 : x
  2. Step 2: Convert to fraction form
    157,035.84/235,420.80 = 68,222.40/x
  3. Step 3: Cross multiply
    157,035.84x = 235,420.80 × 68,222.40
  4. Step 4: Simplify right side
    157,035.84x = 16,060,971,985.92
  5. Step 5: Solve for x
    x = 16,060,971,985.92/157,035.84
  6. Step 6: Final answer
    x = 102,275.84

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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.