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Finding the Fourth Proportional to 152,955.18, 211,075.20 and 84,971.88

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Solution

The fourth proportional to 152,955.18, 211,075.20 and 84,971.88 is: 117,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,955.18 : 211,075.20 = 84,971.88 : x
  2. Step 2: Convert to fraction form
    152,955.18/211,075.20 = 84,971.88/x
  3. Step 3: Cross multiply
    152,955.18x = 211,075.20 × 84,971.88
  4. Step 4: Simplify right side
    152,955.18x = 17,935,456,565.38
  5. Step 5: Solve for x
    x = 17,935,456,565.38/152,955.18
  6. Step 6: Final answer
    x = 117,259.56

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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.