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Finding the Fourth Proportional to 64,807, 89,433.68 and 34,999

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Solution

The fourth proportional to 64,807, 89,433.68 and 34,999 is: 48,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,807 : 89,433.68 = 34,999 : x
  2. Step 2: Convert to fraction form
    64,807/89,433.68 = 34,999/x
  3. Step 3: Cross multiply
    64,807x = 89,433.68 × 34,999
  4. Step 4: Simplify right side
    64,807x = 3,130,089,366.32
  5. Step 5: Solve for x
    x = 3,130,089,366.32/64,807
  6. Step 6: Final answer
    x = 48,298.63

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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.