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Finding the Fourth Proportional to 145,548, 200,972.16 and 94,585.92

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Solution

The fourth proportional to 145,548, 200,972.16 and 94,585.92 is: 130,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,548 : 200,972.16 = 94,585.92 : x
  2. Step 2: Convert to fraction form
    145,548/200,972.16 = 94,585.92/x
  3. Step 3: Cross multiply
    145,548x = 200,972.16 × 94,585.92
  4. Step 4: Simplify right side
    145,548x = 19,009,136,647.99
  5. Step 5: Solve for x
    x = 19,009,136,647.99/145,548
  6. Step 6: Final answer
    x = 130,603.90

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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.