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Finding the Fourth Proportional to 53,686.84, 74,062.14 and 37,780.12

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Solution

The fourth proportional to 53,686.84, 74,062.14 and 37,780.12 is: 52,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.84 : 74,062.14 = 37,780.12 : x
  2. Step 2: Convert to fraction form
    53,686.84/74,062.14 = 37,780.12/x
  3. Step 3: Cross multiply
    53,686.84x = 74,062.14 × 37,780.12
  4. Step 4: Simplify right side
    53,686.84x = 2,798,076,536.66
  5. Step 5: Solve for x
    x = 2,798,076,536.66/53,686.84
  6. Step 6: Final answer
    x = 52,118.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.