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Finding the Fourth Proportional to 83,240.95, 114,885.40 and 65,470.67

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Solution

The fourth proportional to 83,240.95, 114,885.40 and 65,470.67 is: 90,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,240.95 : 114,885.40 = 65,470.67 : x
  2. Step 2: Convert to fraction form
    83,240.95/114,885.40 = 65,470.67/x
  3. Step 3: Cross multiply
    83,240.95x = 114,885.40 × 65,470.67
  4. Step 4: Simplify right side
    83,240.95x = 7,521,624,111.22
  5. Step 5: Solve for x
    x = 7,521,624,111.22/83,240.95
  6. Step 6: Final answer
    x = 90,359.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.