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Finding the Fourth Proportional to 170,221, 234,905.16 and 98,605.12

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Solution

The fourth proportional to 170,221, 234,905.16 and 98,605.12 is: 136,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,221 : 234,905.16 = 98,605.12 : x
  2. Step 2: Convert to fraction form
    170,221/234,905.16 = 98,605.12/x
  3. Step 3: Cross multiply
    170,221x = 234,905.16 × 98,605.12
  4. Step 4: Simplify right side
    170,221x = 23,162,851,490.42
  5. Step 5: Solve for x
    x = 23,162,851,490.42/170,221
  6. Step 6: Final answer
    x = 136,075.17

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1.5x scale

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.