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Finding the Fourth Proportional to 99,657.94, 137,416.23 and 81,452.16

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Solution

The fourth proportional to 99,657.94, 137,416.23 and 81,452.16 is: 112,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657.94 : 137,416.23 = 81,452.16 : x
  2. Step 2: Convert to fraction form
    99,657.94/137,416.23 = 81,452.16/x
  3. Step 3: Cross multiply
    99,657.94x = 137,416.23 × 81,452.16
  4. Step 4: Simplify right side
    99,657.94x = 11,192,849,603.70
  5. Step 5: Solve for x
    x = 11,192,849,603.70/99,657.94
  6. Step 6: Final answer
    x = 112,312.67

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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.