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Finding the Fourth Proportional to 130,194, 179,667.72 and 70,578

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Solution

The fourth proportional to 130,194, 179,667.72 and 70,578 is: 97,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,194 : 179,667.72 = 70,578 : x
  2. Step 2: Convert to fraction form
    130,194/179,667.72 = 70,578/x
  3. Step 3: Cross multiply
    130,194x = 179,667.72 × 70,578
  4. Step 4: Simplify right side
    130,194x = 12,680,588,342.16
  5. Step 5: Solve for x
    x = 12,680,588,342.16/130,194
  6. Step 6: Final answer
    x = 97,397.64

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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.