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Finding the Fourth Proportional to 78,770, 118,088.76 and 32,056.40

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Solution

The fourth proportional to 78,770, 118,088.76 and 32,056.40 is: 48,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770 : 118,088.76 = 32,056.40 : x
  2. Step 2: Convert to fraction form
    78,770/118,088.76 = 32,056.40/x
  3. Step 3: Cross multiply
    78,770x = 118,088.76 × 32,056.40
  4. Step 4: Simplify right side
    78,770x = 3,785,500,526.06
  5. Step 5: Solve for x
    x = 3,785,500,526.06/78,770
  6. Step 6: Final answer
    x = 48,057.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.