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Finding the Fourth Proportional to 130,029, 179,440.02 and 70,413

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Solution

The fourth proportional to 130,029, 179,440.02 and 70,413 is: 97,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,029 : 179,440.02 = 70,413 : x
  2. Step 2: Convert to fraction form
    130,029/179,440.02 = 70,413/x
  3. Step 3: Cross multiply
    130,029x = 179,440.02 × 70,413
  4. Step 4: Simplify right side
    130,029x = 12,634,910,128.26
  5. Step 5: Solve for x
    x = 12,634,910,128.26/130,029
  6. Step 6: Final answer
    x = 97,169.94

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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.