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Finding the Fourth Proportional to 130,594, 180,219.84 and 70,978

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Solution

The fourth proportional to 130,594, 180,219.84 and 70,978 is: 97,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,594 : 180,219.84 = 70,978 : x
  2. Step 2: Convert to fraction form
    130,594/180,219.84 = 70,978/x
  3. Step 3: Cross multiply
    130,594x = 180,219.84 × 70,978
  4. Step 4: Simplify right side
    130,594x = 12,791,643,803.52
  5. Step 5: Solve for x
    x = 12,791,643,803.52/130,594
  6. Step 6: Final answer
    x = 97,949.71

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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.