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Finding the Fourth Proportional to 290,051.12, 435,088.49 and 138,170.13

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Solution

The fourth proportional to 290,051.12, 435,088.49 and 138,170.13 is: 207,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,051.12 : 435,088.49 = 138,170.13 : x
  2. Step 2: Convert to fraction form
    290,051.12/435,088.49 = 138,170.13/x
  3. Step 3: Cross multiply
    290,051.12x = 435,088.49 × 138,170.13
  4. Step 4: Simplify right side
    290,051.12x = 60,116,232,533.95
  5. Step 5: Solve for x
    x = 60,116,232,533.95/290,051.12
  6. Step 6: Final answer
    x = 207,260.82

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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.