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Finding the Fourth Proportional to 152,505.28, 210,465.64 and 84,520.81

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Solution

The fourth proportional to 152,505.28, 210,465.64 and 84,520.81 is: 116,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,505.28 : 210,465.64 = 84,520.81 : x
  2. Step 2: Convert to fraction form
    152,505.28/210,465.64 = 84,520.81/x
  3. Step 3: Cross multiply
    152,505.28x = 210,465.64 × 84,520.81
  4. Step 4: Simplify right side
    152,505.28x = 17,788,726,369.97
  5. Step 5: Solve for x
    x = 17,788,726,369.97/152,505.28
  6. Step 6: Final answer
    x = 116,643.35

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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.