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Finding the Fourth Proportional to 153,690.51, 230,639.30 and 53,851.53

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Solution

The fourth proportional to 153,690.51, 230,639.30 and 53,851.53 is: 80,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,690.51 : 230,639.30 = 53,851.53 : x
  2. Step 2: Convert to fraction form
    153,690.51/230,639.30 = 53,851.53/x
  3. Step 3: Cross multiply
    153,690.51x = 230,639.30 × 53,851.53
  4. Step 4: Simplify right side
    153,690.51x = 12,420,279,980.71
  5. Step 5: Solve for x
    x = 12,420,279,980.71/153,690.51
  6. Step 6: Final answer
    x = 80,813.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.