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Finding the Fourth Proportional to 180,470.72, 249,047.52 and 99,898.40

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Solution

The fourth proportional to 180,470.72, 249,047.52 and 99,898.40 is: 137,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,470.72 : 249,047.52 = 99,898.40 : x
  2. Step 2: Convert to fraction form
    180,470.72/249,047.52 = 99,898.40/x
  3. Step 3: Cross multiply
    180,470.72x = 249,047.52 × 99,898.40
  4. Step 4: Simplify right side
    180,470.72x = 24,879,448,771.97
  5. Step 5: Solve for x
    x = 24,879,448,771.97/180,470.72
  6. Step 6: Final answer
    x = 137,858.64

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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.