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Finding the Fourth Proportional to 130,392, 179,940.96 and 70,776

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Solution

The fourth proportional to 130,392, 179,940.96 and 70,776 is: 97,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,392 : 179,940.96 = 70,776 : x
  2. Step 2: Convert to fraction form
    130,392/179,940.96 = 70,776/x
  3. Step 3: Cross multiply
    130,392x = 179,940.96 × 70,776
  4. Step 4: Simplify right side
    130,392x = 12,735,501,384.96
  5. Step 5: Solve for x
    x = 12,735,501,384.96/130,392
  6. Step 6: Final answer
    x = 97,670.88

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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.