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Finding the Fourth Proportional to 105,359.76, 145,393.64 and 62,341.48

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Solution

The fourth proportional to 105,359.76, 145,393.64 and 62,341.48 is: 86,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,359.76 : 145,393.64 = 62,341.48 : x
  2. Step 2: Convert to fraction form
    105,359.76/145,393.64 = 62,341.48/x
  3. Step 3: Cross multiply
    105,359.76x = 145,393.64 × 62,341.48
  4. Step 4: Simplify right side
    105,359.76x = 9,064,054,700.19
  5. Step 5: Solve for x
    x = 9,064,054,700.19/105,359.76
  6. Step 6: Final answer
    x = 86,029.57

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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.