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Finding the Fourth Proportional to 102,085.98, 153,118.98 and 31,009.23

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Solution

The fourth proportional to 102,085.98, 153,118.98 and 31,009.23 is: 46,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,085.98 : 153,118.98 = 31,009.23 : x
  2. Step 2: Convert to fraction form
    102,085.98/153,118.98 = 31,009.23/x
  3. Step 3: Cross multiply
    102,085.98x = 153,118.98 × 31,009.23
  4. Step 4: Simplify right side
    102,085.98x = 4,748,101,668.19
  5. Step 5: Solve for x
    x = 4,748,101,668.19/102,085.98
  6. Step 6: Final answer
    x = 46,510.81

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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.