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Finding the Fourth Proportional to 180,469.78, 249,050.49 and 99,904.75

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Solution

The fourth proportional to 180,469.78, 249,050.49 and 99,904.75 is: 137,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469.78 : 249,050.49 = 99,904.75 : x
  2. Step 2: Convert to fraction form
    180,469.78/249,050.49 = 99,904.75/x
  3. Step 3: Cross multiply
    180,469.78x = 249,050.49 × 99,904.75
  4. Step 4: Simplify right side
    180,469.78x = 24,881,326,940.83
  5. Step 5: Solve for x
    x = 24,881,326,940.83/180,469.78
  6. Step 6: Final answer
    x = 137,869.77

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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.