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Finding the Fourth Proportional to 98,430.84, 147,669.74 and 31,871

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Solution

The fourth proportional to 98,430.84, 147,669.74 and 31,871 is: 47,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,430.84 : 147,669.74 = 31,871 : x
  2. Step 2: Convert to fraction form
    98,430.84/147,669.74 = 31,871/x
  3. Step 3: Cross multiply
    98,430.84x = 147,669.74 × 31,871
  4. Step 4: Simplify right side
    98,430.84x = 4,706,382,283.54
  5. Step 5: Solve for x
    x = 4,706,382,283.54/98,430.84
  6. Step 6: Final answer
    x = 47,814.10

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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.