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Finding the Fourth Proportional to 145,484.94, 200,739.12 and 85,043.90

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Solution

The fourth proportional to 145,484.94, 200,739.12 and 85,043.90 is: 117,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,484.94 : 200,739.12 = 85,043.90 : x
  2. Step 2: Convert to fraction form
    145,484.94/200,739.12 = 85,043.90/x
  3. Step 3: Cross multiply
    145,484.94x = 200,739.12 × 85,043.90
  4. Step 4: Simplify right side
    145,484.94x = 17,071,636,643.67
  5. Step 5: Solve for x
    x = 17,071,636,643.67/145,484.94
  6. Step 6: Final answer
    x = 117,342.98

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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.