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Finding the Fourth Proportional to 70,802.94, 97,708.38 and 40,590

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Solution

The fourth proportional to 70,802.94, 97,708.38 and 40,590 is: 56,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.94 : 97,708.38 = 40,590 : x
  2. Step 2: Convert to fraction form
    70,802.94/97,708.38 = 40,590/x
  3. Step 3: Cross multiply
    70,802.94x = 97,708.38 × 40,590
  4. Step 4: Simplify right side
    70,802.94x = 3,965,983,144.20
  5. Step 5: Solve for x
    x = 3,965,983,144.20/70,802.94
  6. Step 6: Final answer
    x = 56,014.39

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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.