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Finding the Fourth Proportional to 130,424, 179,985.12 and 70,808

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Solution

The fourth proportional to 130,424, 179,985.12 and 70,808 is: 97,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,424 : 179,985.12 = 70,808 : x
  2. Step 2: Convert to fraction form
    130,424/179,985.12 = 70,808/x
  3. Step 3: Cross multiply
    130,424x = 179,985.12 × 70,808
  4. Step 4: Simplify right side
    130,424x = 12,744,386,376.96
  5. Step 5: Solve for x
    x = 12,744,386,376.96/130,424
  6. Step 6: Final answer
    x = 97,715.04

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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.