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Finding the Fourth Proportional to 85,730.51, 128,601.93 and 29,569.80

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Solution

The fourth proportional to 85,730.51, 128,601.93 and 29,569.80 is: 44,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730.51 : 128,601.93 = 29,569.80 : x
  2. Step 2: Convert to fraction form
    85,730.51/128,601.93 = 29,569.80/x
  3. Step 3: Cross multiply
    85,730.51x = 128,601.93 × 29,569.80
  4. Step 4: Simplify right side
    85,730.51x = 3,802,733,349.71
  5. Step 5: Solve for x
    x = 3,802,733,349.71/85,730.51
  6. Step 6: Final answer
    x = 44,356.83

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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.