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Finding the Fourth Proportional to 180,490.84, 249,069.28 and 99,912.67

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Solution

The fourth proportional to 180,490.84, 249,069.28 and 99,912.67 is: 137,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,490.84 : 249,069.28 = 99,912.67 : x
  2. Step 2: Convert to fraction form
    180,490.84/249,069.28 = 99,912.67/x
  3. Step 3: Cross multiply
    180,490.84x = 249,069.28 × 99,912.67
  4. Step 4: Simplify right side
    180,490.84x = 24,885,175,034.87
  5. Step 5: Solve for x
    x = 24,885,175,034.87/180,490.84
  6. Step 6: Final answer
    x = 137,875.01

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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.