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Finding the Fourth Proportional to 56,386.94, 77,813.93 and 30,894.95

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Solution

The fourth proportional to 56,386.94, 77,813.93 and 30,894.95 is: 42,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386.94 : 77,813.93 = 30,894.95 : x
  2. Step 2: Convert to fraction form
    56,386.94/77,813.93 = 30,894.95/x
  3. Step 3: Cross multiply
    56,386.94x = 77,813.93 × 30,894.95
  4. Step 4: Simplify right side
    56,386.94x = 2,404,057,748.43
  5. Step 5: Solve for x
    x = 2,404,057,748.43/56,386.94
  6. Step 6: Final answer
    x = 42,635.01

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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.