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Finding the Fourth Proportional to 130,365, 179,903.76 and 70,749

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Solution

The fourth proportional to 130,365, 179,903.76 and 70,749 is: 97,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,365 : 179,903.76 = 70,749 : x
  2. Step 2: Convert to fraction form
    130,365/179,903.76 = 70,749/x
  3. Step 3: Cross multiply
    130,365x = 179,903.76 × 70,749
  4. Step 4: Simplify right side
    130,365x = 12,728,011,116.24
  5. Step 5: Solve for x
    x = 12,728,011,116.24/130,365
  6. Step 6: Final answer
    x = 97,633.65

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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.