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Finding the Fourth Proportional to 153,360.81, 230,088.16 and 78,533.93

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Solution

The fourth proportional to 153,360.81, 230,088.16 and 78,533.93 is: 117,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,360.81 : 230,088.16 = 78,533.93 : x
  2. Step 2: Convert to fraction form
    153,360.81/230,088.16 = 78,533.93/x
  3. Step 3: Cross multiply
    153,360.81x = 230,088.16 × 78,533.93
  4. Step 4: Simplify right side
    153,360.81x = 18,069,727,058.60
  5. Step 5: Solve for x
    x = 18,069,727,058.60/153,360.81
  6. Step 6: Final answer
    x = 117,824.94

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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.