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Finding the Fourth Proportional to 130,122, 179,568.60 and 70,506

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Solution

The fourth proportional to 130,122, 179,568.60 and 70,506 is: 97,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,122 : 179,568.60 = 70,506 : x
  2. Step 2: Convert to fraction form
    130,122/179,568.60 = 70,506/x
  3. Step 3: Cross multiply
    130,122x = 179,568.60 × 70,506
  4. Step 4: Simplify right side
    130,122x = 12,660,663,711.60
  5. Step 5: Solve for x
    x = 12,660,663,711.60/130,122
  6. Step 6: Final answer
    x = 97,298.41

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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.