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Finding the Fourth Proportional to 289,159.81, 399,036.41 and 160,085.90

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Solution

The fourth proportional to 289,159.81, 399,036.41 and 160,085.90 is: 220,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,159.81 : 399,036.41 = 160,085.90 : x
  2. Step 2: Convert to fraction form
    289,159.81/399,036.41 = 160,085.90/x
  3. Step 3: Cross multiply
    289,159.81x = 399,036.41 × 160,085.90
  4. Step 4: Simplify right side
    289,159.81x = 63,880,103,625.10
  5. Step 5: Solve for x
    x = 63,880,103,625.10/289,159.81
  6. Step 6: Final answer
    x = 220,916.26

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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.