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Finding the Fourth Proportional to 152,263.74, 210,119.40 and 84,283.50

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Solution

The fourth proportional to 152,263.74, 210,119.40 and 84,283.50 is: 116,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,263.74 : 210,119.40 = 84,283.50 : x
  2. Step 2: Convert to fraction form
    152,263.74/210,119.40 = 84,283.50/x
  3. Step 3: Cross multiply
    152,263.74x = 210,119.40 × 84,283.50
  4. Step 4: Simplify right side
    152,263.74x = 17,709,598,449.90
  5. Step 5: Solve for x
    x = 17,709,598,449.90/152,263.74
  6. Step 6: Final answer
    x = 116,308.71

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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.