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Finding the Fourth Proportional to 180,829.60, 249,559.64 and 100,282.40

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Solution

The fourth proportional to 180,829.60, 249,559.64 and 100,282.40 is: 138,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,829.60 : 249,559.64 = 100,282.40 : x
  2. Step 2: Convert to fraction form
    180,829.60/249,559.64 = 100,282.40/x
  3. Step 3: Cross multiply
    180,829.60x = 249,559.64 × 100,282.40
  4. Step 4: Simplify right side
    180,829.60x = 25,026,439,642.34
  5. Step 5: Solve for x
    x = 25,026,439,642.34/180,829.60
  6. Step 6: Final answer
    x = 138,397.92

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1.5x scale

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.