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Finding the Fourth Proportional to 56,374.47, 77,795.93 and 30,880.64

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Solution

The fourth proportional to 56,374.47, 77,795.93 and 30,880.64 is: 42,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,374.47 : 77,795.93 = 30,880.64 : x
  2. Step 2: Convert to fraction form
    56,374.47/77,795.93 = 30,880.64/x
  3. Step 3: Cross multiply
    56,374.47x = 77,795.93 × 30,880.64
  4. Step 4: Simplify right side
    56,374.47x = 2,402,387,564.41
  5. Step 5: Solve for x
    x = 2,402,387,564.41/56,374.47
  6. Step 6: Final answer
    x = 42,614.81

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Why These Related Problems?

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