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Finding the Fourth Proportional to 56,185.50, 77,536 and 31,036.62

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Solution

The fourth proportional to 56,185.50, 77,536 and 31,036.62 is: 42,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,185.50 : 77,536 = 31,036.62 : x
  2. Step 2: Convert to fraction form
    56,185.50/77,536 = 31,036.62/x
  3. Step 3: Cross multiply
    56,185.50x = 77,536 × 31,036.62
  4. Step 4: Simplify right side
    56,185.50x = 2,406,455,368.32
  5. Step 5: Solve for x
    x = 2,406,455,368.32/56,185.50
  6. Step 6: Final answer
    x = 42,830.54

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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.