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Finding the Fourth Proportional to 152,701.56, 210,728.40 and 84,716.40

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Solution

The fourth proportional to 152,701.56, 210,728.40 and 84,716.40 is: 116,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,701.56 : 210,728.40 = 84,716.40 : x
  2. Step 2: Convert to fraction form
    152,701.56/210,728.40 = 84,716.40/x
  3. Step 3: Cross multiply
    152,701.56x = 210,728.40 × 84,716.40
  4. Step 4: Simplify right side
    152,701.56x = 17,852,151,425.76
  5. Step 5: Solve for x
    x = 17,852,151,425.76/152,701.56
  6. Step 6: Final answer
    x = 116,908.77

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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.