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Finding the Fourth Proportional to 130,106, 179,546.28 and 70,490

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Solution

The fourth proportional to 130,106, 179,546.28 and 70,490 is: 97,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,106 : 179,546.28 = 70,490 : x
  2. Step 2: Convert to fraction form
    130,106/179,546.28 = 70,490/x
  3. Step 3: Cross multiply
    130,106x = 179,546.28 × 70,490
  4. Step 4: Simplify right side
    130,106x = 12,656,217,277.20
  5. Step 5: Solve for x
    x = 12,656,217,277.20/130,106
  6. Step 6: Final answer
    x = 97,276.20

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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.