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Finding the Fourth Proportional to 93,312, 128,770.56 and 59,778

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Solution

The fourth proportional to 93,312, 128,770.56 and 59,778 is: 82,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,312 : 128,770.56 = 59,778 : x
  2. Step 2: Convert to fraction form
    93,312/128,770.56 = 59,778/x
  3. Step 3: Cross multiply
    93,312x = 128,770.56 × 59,778
  4. Step 4: Simplify right side
    93,312x = 7,697,646,535.68
  5. Step 5: Solve for x
    x = 7,697,646,535.68/93,312
  6. Step 6: Final answer
    x = 82,493.64

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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.