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Finding the Fourth Proportional to 130,474, 180,054.24 and 70,858

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Solution

The fourth proportional to 130,474, 180,054.24 and 70,858 is: 97,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,474 : 180,054.24 = 70,858 : x
  2. Step 2: Convert to fraction form
    130,474/180,054.24 = 70,858/x
  3. Step 3: Cross multiply
    130,474x = 180,054.24 × 70,858
  4. Step 4: Simplify right side
    130,474x = 12,758,283,337.92
  5. Step 5: Solve for x
    x = 12,758,283,337.92/130,474
  6. Step 6: Final answer
    x = 97,784.11

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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.