Finding the Fourth Proportional to 135,812,554,318.47, 187,415,868,296.61 and 74,011,811,643.47
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Solution
The fourth proportional to 135,812,554,318.47, 187,415,868,296.61 and 74,011,811,643.47 is: 102,133,326,429.02
Step by Step Solution
- Step 1: Write the proportion equation
135,812,554,318.47 : 187,415,868,296.61 = 74,011,811,643.47 : x - Step 2: Convert to fraction form
135,812,554,318.47/187,415,868,296.61 = 74,011,811,643.47/x - Step 3: Cross multiply
135,812,554,318.47x = 187,415,868,296.61 × 74,011,811,643.47 - Step 4: Simplify right side
135,812,554,318.47x = 13,870,987,943,366,642,106,368 - Step 5: Solve for x
x = 13,870,987,943,366,642,106,368/135,812,554,318.47 - Step 6: Final answer
x = 102,133,326,429.02
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.