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Finding the Fourth Proportional to 191,859.68, 287,989.14 and 141,315.78

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Solution

The fourth proportional to 191,859.68, 287,989.14 and 141,315.78 is: 212,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,859.68 : 287,989.14 = 141,315.78 : x
  2. Step 2: Convert to fraction form
    191,859.68/287,989.14 = 141,315.78/x
  3. Step 3: Cross multiply
    191,859.68x = 287,989.14 × 141,315.78
  4. Step 4: Simplify right side
    191,859.68x = 40,697,409,950.63
  5. Step 5: Solve for x
    x = 40,697,409,950.63/191,859.68
  6. Step 6: Final answer
    x = 212,120.70

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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.