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Finding the Fourth Proportional to 152,154.66, 209,969.64 and 84,175.41

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Solution

The fourth proportional to 152,154.66, 209,969.64 and 84,175.41 is: 116,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,154.66 : 209,969.64 = 84,175.41 : x
  2. Step 2: Convert to fraction form
    152,154.66/209,969.64 = 84,175.41/x
  3. Step 3: Cross multiply
    152,154.66x = 209,969.64 × 84,175.41
  4. Step 4: Simplify right side
    152,154.66x = 17,674,280,534.55
  5. Step 5: Solve for x
    x = 17,674,280,534.55/152,154.66
  6. Step 6: Final answer
    x = 116,159.97

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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.