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Finding the Fourth Proportional to 64,638.46, 96,888.51 and 31,312.78

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Solution

The fourth proportional to 64,638.46, 96,888.51 and 31,312.78 is: 46,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638.46 : 96,888.51 = 31,312.78 : x
  2. Step 2: Convert to fraction form
    64,638.46/96,888.51 = 31,312.78/x
  3. Step 3: Cross multiply
    64,638.46x = 96,888.51 × 31,312.78
  4. Step 4: Simplify right side
    64,638.46x = 3,033,848,598.16
  5. Step 5: Solve for x
    x = 3,033,848,598.16/64,638.46
  6. Step 6: Final answer
    x = 46,935.66

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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.