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Finding the Fourth Proportional to 180,478.50, 249,056.70 and 99,906

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Solution

The fourth proportional to 180,478.50, 249,056.70 and 99,906 is: 137,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,478.50 : 249,056.70 = 99,906 : x
  2. Step 2: Convert to fraction form
    180,478.50/249,056.70 = 99,906/x
  3. Step 3: Cross multiply
    180,478.50x = 249,056.70 × 99,906
  4. Step 4: Simplify right side
    180,478.50x = 24,882,258,670.20
  5. Step 5: Solve for x
    x = 24,882,258,670.20/180,478.50
  6. Step 6: Final answer
    x = 137,868.27

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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.