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Finding the Fourth Proportional to 180,475.80, 249,078.86 and 102,970.53

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Solution

The fourth proportional to 180,475.80, 249,078.86 and 102,970.53 is: 142,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,475.80 : 249,078.86 = 102,970.53 : x
  2. Step 2: Convert to fraction form
    180,475.80/249,078.86 = 102,970.53/x
  3. Step 3: Cross multiply
    180,475.80x = 249,078.86 × 102,970.53
  4. Step 4: Simplify right side
    180,475.80x = 25,647,780,465.75
  5. Step 5: Solve for x
    x = 25,647,780,465.75/180,475.80
  6. Step 6: Final answer
    x = 142,112.02

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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.