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Finding the Fourth Proportional to 98,315.31, 135,731.12 and 64,878.51

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Solution

The fourth proportional to 98,315.31, 135,731.12 and 64,878.51 is: 89,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,315.31 : 135,731.12 = 64,878.51 : x
  2. Step 2: Convert to fraction form
    98,315.31/135,731.12 = 64,878.51/x
  3. Step 3: Cross multiply
    98,315.31x = 135,731.12 × 64,878.51
  4. Step 4: Simplify right side
    98,315.31x = 8,806,032,501.84
  5. Step 5: Solve for x
    x = 8,806,032,501.84/98,315.31
  6. Step 6: Final answer
    x = 89,569.29

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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.