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Finding the Fourth Proportional to 145,718.48, 218,535.66 and 61,497.51

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Solution

The fourth proportional to 145,718.48, 218,535.66 and 61,497.51 is: 92,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,718.48 : 218,535.66 = 61,497.51 : x
  2. Step 2: Convert to fraction form
    145,718.48/218,535.66 = 61,497.51/x
  3. Step 3: Cross multiply
    145,718.48x = 218,535.66 × 61,497.51
  4. Step 4: Simplify right side
    145,718.48x = 13,439,398,936.21
  5. Step 5: Solve for x
    x = 13,439,398,936.21/145,718.48
  6. Step 6: Final answer
    x = 92,228.52

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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.