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Finding the Fourth Proportional to 202,968.54, 280,089.66 and 112,328.31

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Solution

The fourth proportional to 202,968.54, 280,089.66 and 112,328.31 is: 155,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,968.54 : 280,089.66 = 112,328.31 : x
  2. Step 2: Convert to fraction form
    202,968.54/280,089.66 = 112,328.31/x
  3. Step 3: Cross multiply
    202,968.54x = 280,089.66 × 112,328.31
  4. Step 4: Simplify right side
    202,968.54x = 31,461,998,156.27
  5. Step 5: Solve for x
    x = 31,461,998,156.27/202,968.54
  6. Step 6: Final answer
    x = 155,009.24

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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.