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Finding the Fourth Proportional to 660,681, 991,021.50 and 162,045

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Solution

The fourth proportional to 660,681, 991,021.50 and 162,045 is: 243,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,681 : 991,021.50 = 162,045 : x
  2. Step 2: Convert to fraction form
    660,681/991,021.50 = 162,045/x
  3. Step 3: Cross multiply
    660,681x = 991,021.50 × 162,045
  4. Step 4: Simplify right side
    660,681x = 160,590,078,967.50
  5. Step 5: Solve for x
    x = 160,590,078,967.50/660,681
  6. Step 6: Final answer
    x = 243,067.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.