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Finding the Fourth Proportional to 130,499, 180,088.80 and 70,883

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Solution

The fourth proportional to 130,499, 180,088.80 and 70,883 is: 97,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,499 : 180,088.80 = 70,883 : x
  2. Step 2: Convert to fraction form
    130,499/180,088.80 = 70,883/x
  3. Step 3: Cross multiply
    130,499x = 180,088.80 × 70,883
  4. Step 4: Simplify right side
    130,499x = 12,765,234,410.40
  5. Step 5: Solve for x
    x = 12,765,234,410.40/130,499
  6. Step 6: Final answer
    x = 97,818.64

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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.