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Finding the Fourth Proportional to 181,144.79, 249,968.25 and 100,572.30

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Solution

The fourth proportional to 181,144.79, 249,968.25 and 100,572.30 is: 138,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,144.79 : 249,968.25 = 100,572.30 : x
  2. Step 2: Convert to fraction form
    181,144.79/249,968.25 = 100,572.30/x
  3. Step 3: Cross multiply
    181,144.79x = 249,968.25 × 100,572.30
  4. Step 4: Simplify right side
    181,144.79x = 25,139,881,829.48
  5. Step 5: Solve for x
    x = 25,139,881,829.48/181,144.79
  6. Step 6: Final answer
    x = 138,783.35

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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.