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Finding the Fourth Proportional to 130,445, 180,014.10 and 70,829

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Solution

The fourth proportional to 130,445, 180,014.10 and 70,829 is: 97,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,445 : 180,014.10 = 70,829 : x
  2. Step 2: Convert to fraction form
    130,445/180,014.10 = 70,829/x
  3. Step 3: Cross multiply
    130,445x = 180,014.10 × 70,829
  4. Step 4: Simplify right side
    130,445x = 12,750,218,688.90
  5. Step 5: Solve for x
    x = 12,750,218,688.90/130,445
  6. Step 6: Final answer
    x = 97,744.02

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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.