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Finding the Fourth Proportional to 130,071, 179,497.98 and 70,455

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Solution

The fourth proportional to 130,071, 179,497.98 and 70,455 is: 97,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,071 : 179,497.98 = 70,455 : x
  2. Step 2: Convert to fraction form
    130,071/179,497.98 = 70,455/x
  3. Step 3: Cross multiply
    130,071x = 179,497.98 × 70,455
  4. Step 4: Simplify right side
    130,071x = 12,646,530,180.90
  5. Step 5: Solve for x
    x = 12,646,530,180.90/130,071
  6. Step 6: Final answer
    x = 97,227.90

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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.