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Finding the Fourth Proportional to 180,951.48, 249,742.89 and 100,404.90

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Solution

The fourth proportional to 180,951.48, 249,742.89 and 100,404.90 is: 138,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,951.48 : 249,742.89 = 100,404.90 : x
  2. Step 2: Convert to fraction form
    180,951.48/249,742.89 = 100,404.90/x
  3. Step 3: Cross multiply
    180,951.48x = 249,742.89 × 100,404.90
  4. Step 4: Simplify right side
    180,951.48x = 25,075,409,896.16
  5. Step 5: Solve for x
    x = 25,075,409,896.16/180,951.48
  6. Step 6: Final answer
    x = 138,575.32

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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.