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Finding the Fourth Proportional to 142,667.75, 214,001.13 and 42,827.54

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Solution

The fourth proportional to 142,667.75, 214,001.13 and 42,827.54 is: 64,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,667.75 : 214,001.13 = 42,827.54 : x
  2. Step 2: Convert to fraction form
    142,667.75/214,001.13 = 42,827.54/x
  3. Step 3: Cross multiply
    142,667.75x = 214,001.13 × 42,827.54
  4. Step 4: Simplify right side
    142,667.75x = 9,165,141,955.12
  5. Step 5: Solve for x
    x = 9,165,141,955.12/142,667.75
  6. Step 6: Final answer
    x = 64,241.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.