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Finding the Fourth Proportional to 100,783.81, 139,035.12 and 64,985.32

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Solution

The fourth proportional to 100,783.81, 139,035.12 and 64,985.32 is: 89,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,783.81 : 139,035.12 = 64,985.32 : x
  2. Step 2: Convert to fraction form
    100,783.81/139,035.12 = 64,985.32/x
  3. Step 3: Cross multiply
    100,783.81x = 139,035.12 × 64,985.32
  4. Step 4: Simplify right side
    100,783.81x = 9,035,241,069.26
  5. Step 5: Solve for x
    x = 9,035,241,069.26/100,783.81
  6. Step 6: Final answer
    x = 89,649.73

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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.