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Finding the Fourth Proportional to 105,618, 145,730.16 and 62,611.06

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Solution

The fourth proportional to 105,618, 145,730.16 and 62,611.06 is: 86,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,618 : 145,730.16 = 62,611.06 : x
  2. Step 2: Convert to fraction form
    105,618/145,730.16 = 62,611.06/x
  3. Step 3: Cross multiply
    105,618x = 145,730.16 × 62,611.06
  4. Step 4: Simplify right side
    105,618x = 9,124,319,791.57
  5. Step 5: Solve for x
    x = 9,124,319,791.57/105,618
  6. Step 6: Final answer
    x = 86,389.82

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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.