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Finding the Fourth Proportional to 74,528, 102,848.64 and 40,994

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Solution

The fourth proportional to 74,528, 102,848.64 and 40,994 is: 56,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,528 : 102,848.64 = 40,994 : x
  2. Step 2: Convert to fraction form
    74,528/102,848.64 = 40,994/x
  3. Step 3: Cross multiply
    74,528x = 102,848.64 × 40,994
  4. Step 4: Simplify right side
    74,528x = 4,216,177,148.16
  5. Step 5: Solve for x
    x = 4,216,177,148.16/74,528
  6. Step 6: Final answer
    x = 56,571.72

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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.