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Finding the Fourth Proportional to 145,449, 218,173.50 and 46,953

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Solution

The fourth proportional to 145,449, 218,173.50 and 46,953 is: 70,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,449 : 218,173.50 = 46,953 : x
  2. Step 2: Convert to fraction form
    145,449/218,173.50 = 46,953/x
  3. Step 3: Cross multiply
    145,449x = 218,173.50 × 46,953
  4. Step 4: Simplify right side
    145,449x = 10,243,900,345.50
  5. Step 5: Solve for x
    x = 10,243,900,345.50/145,449
  6. Step 6: Final answer
    x = 70,429.50

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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.