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Finding the Fourth Proportional to 102,188.94, 153,306.47 and 31,117.94

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Solution

The fourth proportional to 102,188.94, 153,306.47 and 31,117.94 is: 46,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.94 : 153,306.47 = 31,117.94 : x
  2. Step 2: Convert to fraction form
    102,188.94/153,306.47 = 31,117.94/x
  3. Step 3: Cross multiply
    102,188.94x = 153,306.47 × 31,117.94
  4. Step 4: Simplify right side
    102,188.94x = 4,770,580,846.33
  5. Step 5: Solve for x
    x = 4,770,580,846.33/102,188.94
  6. Step 6: Final answer
    x = 46,683.93

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1.5x scale

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.