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Finding the Fourth Proportional to 152,230.76, 210,075.13 and 83,319.89

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Solution

The fourth proportional to 152,230.76, 210,075.13 and 83,319.89 is: 114,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,230.76 : 210,075.13 = 83,319.89 : x
  2. Step 2: Convert to fraction form
    152,230.76/210,075.13 = 83,319.89/x
  3. Step 3: Cross multiply
    152,230.76x = 210,075.13 × 83,319.89
  4. Step 4: Simplify right side
    152,230.76x = 17,503,436,306.74
  5. Step 5: Solve for x
    x = 17,503,436,306.74/152,230.76
  6. Step 6: Final answer
    x = 114,979.63

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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.