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Finding the Fourth Proportional to 130,125, 179,572.74 and 70,509

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Solution

The fourth proportional to 130,125, 179,572.74 and 70,509 is: 97,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,125 : 179,572.74 = 70,509 : x
  2. Step 2: Convert to fraction form
    130,125/179,572.74 = 70,509/x
  3. Step 3: Cross multiply
    130,125x = 179,572.74 × 70,509
  4. Step 4: Simplify right side
    130,125x = 12,661,494,324.66
  5. Step 5: Solve for x
    x = 12,661,494,324.66/130,125
  6. Step 6: Final answer
    x = 97,302.55

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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.