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Finding the Fourth Proportional to 105,287.04, 145,303.04 and 59,358

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Solution

The fourth proportional to 105,287.04, 145,303.04 and 59,358 is: 81,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,287.04 : 145,303.04 = 59,358 : x
  2. Step 2: Convert to fraction form
    105,287.04/145,303.04 = 59,358/x
  3. Step 3: Cross multiply
    105,287.04x = 145,303.04 × 59,358
  4. Step 4: Simplify right side
    105,287.04x = 8,624,897,848.32
  5. Step 5: Solve for x
    x = 8,624,897,848.32/105,287.04
  6. Step 6: Final answer
    x = 81,917.94

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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.