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Finding the Fourth Proportional to 76,653.55, 115,054.47 and 55,328.25

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Solution

The fourth proportional to 76,653.55, 115,054.47 and 55,328.25 is: 83,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653.55 : 115,054.47 = 55,328.25 : x
  2. Step 2: Convert to fraction form
    76,653.55/115,054.47 = 55,328.25/x
  3. Step 3: Cross multiply
    76,653.55x = 115,054.47 × 55,328.25
  4. Step 4: Simplify right side
    76,653.55x = 6,365,761,904.51
  5. Step 5: Solve for x
    x = 6,365,761,904.51/76,653.55
  6. Step 6: Final answer
    x = 83,045.89

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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.