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Finding the Fourth Proportional to 56,503.35, 77,975.39 and 31,009.32

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Solution

The fourth proportional to 56,503.35, 77,975.39 and 31,009.32 is: 42,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,503.35 : 77,975.39 = 31,009.32 : x
  2. Step 2: Convert to fraction form
    56,503.35/77,975.39 = 31,009.32/x
  3. Step 3: Cross multiply
    56,503.35x = 77,975.39 × 31,009.32
  4. Step 4: Simplify right side
    56,503.35x = 2,417,963,898.16
  5. Step 5: Solve for x
    x = 2,417,963,898.16/56,503.35
  6. Step 6: Final answer
    x = 42,793.28

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1.5x scale

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.